[Numpy-discussion] ndarray.T2 for 2D transpose

[josef.pktd at gmail.com]

On Thu, Apr 7, 2016 at 1:20 PM, Sebastian Berg <sebastian at sipsolutions.net>
wrote:

> On Do, 2016-04-07 at 11:56 -0400, josef.pktd at gmail.com wrote:
> >
> >
>
> <snip>
>
> >
> > I don't think numpy treats 1d arrays as row vectors. numpy has C
> > -order for axis preference which coincides in many cases with row
> > vector behavior.
> >
>
> Well, broadcasting rules, are that (n,) should typically behave similar
> to (1, n). However, for dot/matmul and @ the rules are stretched to
> mean "the one dimensional thing that gives an inner product" (using
> matmul since my python has no @ yet):
>
> In [12]: a = np.arange(20)
> In [13]: b = np.arange(20)
>
> In [14]: np.matmul(a, b)
> Out[14]: 2470
>
> In [15]: np.matmul(a, b[:, None])
> Out[15]: array([2470])
>
> In [16]: np.matmul(a[None, :], b)
> Out[16]: array([2470])
>
> In [17]: np.matmul(a[None, :], b[:, None])
> Out[17]: array([[2470]])
>
> which indeed gives us a fun thing, because if you look at the last
> line, the outer product equivalent would be:
>
>     outer = np.matmul(a[None, :].T, b[:, None].T)
>
> Now if I go back to the earlier example:
>
>     a.T @ b
>
> Does not achieve the outer product at all with using T2, since
>
>     a.T2 @ b.T2  # only correct for a, but not for b
>     a.T2 @ b  # b attempts to be "inner", so does not work
>


> It almost seems to me that the example is a counter example, because on
> first sight the `T2` attribute would still leave you with no shorthand
> for `b`.
>

a.T2 @ b.T2.T


(T2 as shortcut for creating a[:, None] that's neat, except if a is already
2D)

Josef


>
> I understand the pain of having to write (and parse get into the depth
> of) things like `arr[:, np.newaxis]` or reshape. I also understand the
> idea of a shorthand for vectorized matrix operations. That is, an
> argument for a T2 attribute which errors on 1D arrays (not sure I like
> it, but that is a different issue).
>
> However, it seems that implicit adding of an axis which only works half
> the time does not help too much? I have to admit I don't write these
> things too much, but I wonder if it would not help more if we just
> provided some better information/link to longer examples in the
> "dimension mismatch" error message?
>
> In the end it is quite simple, as Nathaniel, I think I would like to
> see some example code, where the code obviously looks easier then
> before? With the `@` operator that was the case, with the "dimension
> adding logic" I am not so sure, plus it seems it may add other
> pitfalls.
>
> - Sebastian
>
>
>
>
> > >>> np.concatenate(([[1,2,3]], [4,5,6]))
> > Traceback (most recent call last):
> >   File "<pyshell#63>", line 1, in <module>
> >     np.concatenate(([[1,2,3]], [4,5,6]))
> > ValueError: arrays must have same number of dimensions
> >
> > It's not an uncommon exception for me.
> >
> > Josef
> >
> > >
> > > _______________________________________________
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> > >
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